If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.1t2 + 3t = 400 Reorder the terms: 3t + 0.1t2 = 400 Solving 3t + 0.1t2 = 400 Solving for variable 't'. Reorder the terms: -400 + 3t + 0.1t2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 3t + 0.1t2 = 0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. -4000 + 30t + t2 = 0 Move the constant term to the right: Add '4000' to each side of the equation. -4000 + 30t + 4000 + t2 = 0 + 4000 Reorder the terms: -4000 + 4000 + 30t + t2 = 0 + 4000 Combine like terms: -4000 + 4000 = 0 0 + 30t + t2 = 0 + 4000 30t + t2 = 0 + 4000 Combine like terms: 0 + 4000 = 4000 30t + t2 = 4000 The t term is 30t. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30t + 225 + t2 = 4000 + 225 Reorder the terms: 225 + 30t + t2 = 4000 + 225 Combine like terms: 4000 + 225 = 4225 225 + 30t + t2 = 4225 Factor a perfect square on the left side: (t + 15)(t + 15) = 4225 Calculate the square root of the right side: 65 Break this problem into two subproblems by setting (t + 15) equal to 65 and -65.Subproblem 1
t + 15 = 65 Simplifying t + 15 = 65 Reorder the terms: 15 + t = 65 Solving 15 + t = 65 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + t = 65 + -15 Combine like terms: 15 + -15 = 0 0 + t = 65 + -15 t = 65 + -15 Combine like terms: 65 + -15 = 50 t = 50 Simplifying t = 50Subproblem 2
t + 15 = -65 Simplifying t + 15 = -65 Reorder the terms: 15 + t = -65 Solving 15 + t = -65 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + t = -65 + -15 Combine like terms: 15 + -15 = 0 0 + t = -65 + -15 t = -65 + -15 Combine like terms: -65 + -15 = -80 t = -80 Simplifying t = -80Solution
The solution to the problem is based on the solutions from the subproblems. t = {50, -80}
| cosx=-1/6 | | 2+w=7 | | (n/12)-4=0 | | X(2x-5)=(2x+6)(x-7) | | 13b-20+13b-20+6b+86+6b+86=360 | | 4(x-2)-16=16 | | 4/x-2/-16=16 | | -4a-a-11-(-7a)= | | f(x)=(x+2)(x-(3-i))(x-(3+i)) | | 68=3y-2 | | 2(5y-1)-4(2y+1)-11y= | | h(t)=-16t^2+120t+8 | | 12xsquard-33-80=0 | | 8/23= | | (7x)-(2x-1)=31 | | sin4x=(sqrt2)/2 | | 4n+7n-16=6 | | (x^2)+7x+14=0 | | y=-4x^2+2x+9 | | 8n^2-35n-40= | | z/-3.75=4 | | 5y+37=24+8y | | 14/21=24/x | | 6x-5x+12=x-12+7 | | 2x+y-70=0 | | 3(1+3n)=-4(n-8)-3 | | 7x-(2x-1)=31 | | X-5.9=7.761 | | 6x-13=4x-3-10 | | 2u-7=-13 | | 7+x=x+10 | | 2u-2=13 |